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Finding the Fourth Proportional to 658,918.32, 909,299.16 and 357,105.84

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Solution

The fourth proportional to 658,918.32, 909,299.16 and 357,105.84 is: 492,801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,918.32 : 909,299.16 = 357,105.84 : x
  2. Step 2: Convert to fraction form
    658,918.32/909,299.16 = 357,105.84/x
  3. Step 3: Cross multiply
    658,918.32x = 909,299.16 × 357,105.84
  4. Step 4: Simplify right side
    658,918.32x = 324,716,040,343.09
  5. Step 5: Solve for x
    x = 324,716,040,343.09/658,918.32
  6. Step 6: Final answer
    x = 492,801.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.